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#1 2011-12-11 05:56:45

bubokribuck
Member
Registered: 2011-10-28
Posts: 42

gradient operator of a function

(1) Let

, Find grad(f).

.

(2) Identify the points at which grad(f) is
a) orthogonal to the z-axis
b) parallel to the x-axis
c) zero.


I have managed to solve for (1), but don't have a clue how to solve the second part. I have not come across about the theory of "orthogonal to z-axis" and "parallel to x-axis", tried to look up on the internet but still quite confused.

However, for (c) I have come up with something like

, so the points at which grad(f)=0 are (0,0,0). Is that right?

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